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Finding the Fourth Proportional to 12,427.96, 18,642.64 and 5,032.24

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Solution

The fourth proportional to 12,427.96, 18,642.64 and 5,032.24 is: 7,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.96 : 18,642.64 = 5,032.24 : x
  2. Step 2: Convert to fraction form
    12,427.96/18,642.64 = 5,032.24/x
  3. Step 3: Cross multiply
    12,427.96x = 18,642.64 × 5,032.24
  4. Step 4: Simplify right side
    12,427.96x = 93,814,238.71
  5. Step 5: Solve for x
    x = 93,814,238.71/12,427.96
  6. Step 6: Final answer
    x = 7,548.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.